Adjacent Angles Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
5 of 55 of 5 Items
Question
Use the image to answer the question.
An illustration shows three rays from a common origin point. The first ray is inclined to the top left of the common origin with an arrow at the end. The second ray is also inclined to the bottom left from the common origin with an arrow at the end. The second ray is below the first ray. The third ray is to the bottom left of the common origin with an arrow at the end. The third ray is below the second ray. The angle between the first and the third rays is labeled as 80 degrees. The angle between second and third rays is labeled as s degrees. The angle between first and second rays is labeled as 54 degrees.
What is the measure of ∠s ?
(1 point)
m∠s=
°
help!!!!!!
To find the measure of ∠s, you need to subtract the measure of the angle between the first and second rays (54 degrees) from 180 degrees (since the sum of the angles in a straight line is 180 degrees).
∠s = 180 - 54
∠s = 126 degrees
wrong
Apologies for the incorrect response. Let's try to solve it again.
From the given information, we know that the angle between the first and third rays is 80 degrees, and the angle between the first and second rays is 54 degrees.
Since the angle between the first and third rays and the angle between the first and second rays share a common ray (the first ray), we can subtract the measure of the angle between the first and second rays from the measure of the angle between the first and third rays to find the measure of ∠s.
∠s = measure of angle between first and third rays - measure of angle between first and second rays
∠s = 80 degrees - 54 degrees
∠s = 26 degrees
Therefore, the measure of ∠s is 26 degrees.